10199862492192 has 192 divisors, whose sum is σ = 29795167785600. Its totient is φ = 3394750832640.

The previous prime is 10199862492181. The next prime is 10199862492203. The reversal of 10199862492192 is 29129426899101.

10199862492192 is a `hidden beast` number, since 10 + 1 + 99 + 86 + 249 + 219 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10199862492181) and next prime (10199862492203).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2351822248 + ... + 2351826584.

It is an arithmetic number, because the mean of its divisors is an integer number (155183165550).

Almost surely, 2^{10199862492192} is an apocalyptic number.

10199862492192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10199862492192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14897583892800).

10199862492192 is an abundant number, since it is smaller than the sum of its proper divisors (19595305293408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10199862492192 is a wasteful number, since it uses less digits than its factorization.

10199862492192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7896 (or 7882 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

It can be divided in two parts, 101998624 and 92192, that added together give a square (102090816 = 10104²).

The spelling of 10199862492192 in words is "ten trillion, one hundred ninety-nine billion, eight hundred sixty-two million, four hundred ninety-two thousand, one hundred ninety-two".